Weak existence for SDEs with singular drifts and fractional Brownian or Levy noise beyond the subcritical regime

Oleg Butkovsky, Samuel Gallay

We study a multidimensional stochastic differential equation with additive noise: \[ d X_t=b(t, X_t) dt +d ξ_t, \] where the drift $b$ is integrable in space and time, and $\xi$ is e…